Pantano, C. and Pullin, D. I. (2003) A statistical description of turbulent diffusion flame holes. ASCI Technical Report, ASCI-TR167. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20230209-234936651
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Abstract
A statistical approach to the dynamics of diffusion-flame holes is presented. The dynamics of the holes are assumed to be controlled by the edge-flame velocity that is determined by the mixture fraction rate of dissipation, a random variable in a turbulent flow. The formulation is then specialized to the case of small circular holes and a stochastic model is used to investigate the dynamics of the joint probability density function of flame-hole radius and scalar dissipation. The associated Fokker–Planck transport equation for the joint pdf is solved and the hole area evolution with time is computed. Furthermore, the one-dimensional marginal probability density function transport equation for the hole radius is derived and the conditional edge-flame velocity is studied for both expanding and collapsing holes.
Item Type: | Report or Paper (Technical Report) | ||||||
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Additional Information: | This work was supported by the ASC program of the Department of Energy under Subcontract B341492 of DOE Contract W-7405-ENG-48. | ||||||
Group: | Accelerated Strategic Computing Initiative, GALCIT | ||||||
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Series Name: | ASCI Technical Report | ||||||
Issue or Number: | ASCI-TR167 | ||||||
Record Number: | CaltechAUTHORS:20230209-234936651 | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20230209-234936651 | ||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
ID Code: | 119127 | ||||||
Collection: | CaltechAUTHORS | ||||||
Deposited By: | George Porter | ||||||
Deposited On: | 11 Feb 2023 00:55 | ||||||
Last Modified: | 11 Feb 2023 00:55 |
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